A proposal for a magnetic quantum processor that consists of individual molecular spins coupled to superconducting coplanar resonators and transmission lines is carefully examined. We derive a simple magnetic quantum electrodynamics Hamiltonian to describe the underlying physics. It is shown that these hybrid devices can perform arbitrary operations on each spin qubit and induce tunable interactions between any pair of them. The combination of these two operations ensures that the processor can perform universal quantum computations. The feasibility of this proposal is critically discussed using the results of realistic calculations, based on parameters of existing devices and molecular qubits. These results show that the proposal is feasible, provided that molecules with sufficiently long coherence times can be developed and accurately integrated into specific areas of the device. This architecture has an enormous potential for scaling up quantum computation thanks to the microscopic nature of the individual constituents, the molecules, and the possibility of using their internal spin degrees of freedom.

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dc.description.sponsorship

The authors acknowledge funding from the Spanish Ministry of Economy and Competitivity (MINECO) through grants FIS2014-55867-P, MAT2014-53432-C5-1-R, MAT2014-53961-R, MAT2015-68204-R, and MAT2015-70868-ERC, from the European Research Council through grant ERC-2010-StG (258060 FuncMolQIP) and from a TOP grant of the Technical University of Vienna.

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dc.publisher

Royal Society of Chemistry (Great Britain)

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dc.relation

info:eu-repo/grantAgreement/EC/FP7/258060

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dc.relation

MINECO/ICTI2013-2016/MAT2015-70868-ERC

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dc.relation

MINECO/ICTI2013-2016/MAT2015-68204-R

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dc.relation

MINECO/ICTI2013-2016/FIS2014-55867-P

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dc.relation

MINECO/ICTI2013-2016/MAT2014-53432-C5-1-R

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dc.relation

MINECO/ICTI2013-2016/MAT2014-53961-R

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dc.relation.isversionof

Preprint

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dc.rights

openAccess

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dc.title

A scalable architecture for quantum computation with molecular nanomagnets